Least Common Multiple of 82/239, 302/236, 428/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/239, 302/236, 428/165 quickly i.e. 2649748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/239, 302/236, 428/165 is 2649748.

LCM(82/239, 302/236, 428/165) = 2649748

LCM of 82/239, 302/236, 428/165

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 82/239,302/236,428/165

Given numbers are 82/239,302/236,428/165

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 82,302,428

Least Common Multiple of Numerators i.e. LCM of 82,302,428 is 2649748.

GCF of Denominators means GCF of 239,236,165 as per the given fractions.

GCF of 239,236,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,302,428

LCM of Fractions 82/239,302/236,428/165 is 2649748

2 82, 302, 428
41, 151, 214

∴ So the LCM of the given numbers is 2 x 41 x 151 x 214 = 2649748

Least Common Multiple of 82,302,428 with GCF Formula

Least Common Multiple of 82,302,428 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 82,302,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,302,428) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,302,428) x common factors =2 x 2 = 4

LCM(82,302,428) = ( 82 × 302 × 428 ) / 4

LCM(82,302,428) = 10598992 / 4

LCM(82,302,428) = 2649748


Lets's calculate GCF of 239,236,165

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2649748/1

Therefore the LCM of Fractions 82/239,302/236,428/165 is 2649748

Greatest Common Factor of 239,236,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,236,165 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 239,236,165 . The biggest common factor number is the GCF number.
So the greatest common factor 239,236,165 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 82/239, 302/236, 428/165

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 82/239, 302/236, 428/165?

Answer: LCM of Numerators as per given numbers 82/239, 302/236, 428/165 is

LCM of Numerators i.e. for 82,302,428 is 2649748

GCF of denominators i.e. for 239,236,165 is 1.

Thus, LCM of Fractions is 2649748.Finally, LCM of Fractions for 82/239, 302/236, 428/165 is 2649748.